Recent Tutoring Session Reviews
"The student and I covered Arithmetic and Geometric Sequences. Within each sequence we also covered recursive sequences. I provided her with several problems of each subject to get her comfortable with the material. After I saw that she felt confident, I gave her 5 problems to do without stating if it was recursive, arithmetic or geometric. She did a great job at identifying what the question was asking and as equally a great job solving the problem. We also went over problems in her study guide. Again, she proved to be very bright with the material and a very quick learner. She does second guess herself although she knows the answer. I left her with more practice problems from her book. I hope that after more exposure to these types of problems, she should know sequence algebra like the back of her hand."
"The student and I prepared her for her quiz that she was having at the end of the week covering converting degrees to radians, reference and co-terminal angels, and vocabulary associated with these concepts. At the beginning of the session, she seemed a little hesitant on some of the material (conversions and co-terminal angles) but after going through practice problems it seemed to stick and she became more comfortable with solving the problems. She said she'll review the material some more before her quiz."
"The student received her recent quiz back so we started by going over the questions she got wrong. She does well conceptually and understands how to solve the problems but is making mistakes factoring and with multiplication. She would benefit from drilling simple questions (multiplication/ division and addition/ subtraction) in order to be more automatic and reduce errors. Although it may seem simple, practicing basic multiplication tables is a good way to practice and can be done in 5 minutes a day or less. After covering the test, we worked on a practice worksheet which involved solving irrational functions. Once again she showed a strong ability to conceptually solve the problem but had errors either switching positive and negative signs or with simple math. At the end of the session we worked on an extra credit problem."
"The student appears to have a good grasp on the current material--this last week, there was virtually no new material to cover, and he is able to do derivation problems involving finding critical points and points of inflection quite well. Therefore, we talked a bit about the intersection of physics and calculus, which lead me to give him a brief overview of integral calculus, including the idea that integration is the inverse of derivation, how to do simple polynomial integrands, definite and indefinite integrals, how to use definite integrals to find the area under a curve, summation, and Riemann sums. We expect that he will likely see integral calculus before the end of the year, so my intent with this preview was to just give him a basic outline of the subject (and if his class does not get to the topic, having at least a preview of it before entering college calculus will most certainly be helpful to him)."
"We went over limits and derivatives. The student has a makeup exam coming up. After the session, I sent him some worksheets to reinforce what we went over today. He did pretty well. I am starting to notice he is missing some simple algebra that prevents him from reaching accuracy in his answers. We'll work on that in our next session."
"Today we covered substitution for derivatives, using the chain rule, and used that to justify conceptually how to use substitution for integration. We went through the procedure for substitution repeatedly, and reviewed most of the student's homework. While we started out a little slow, she seemed to suddenly understand the topic and by the end I was really happy with her grasp of the material. She seems to understand the concepts of what we are talking about and to generally know the procedure she needs to follow to solve problems."